Exact Solutions of D-Dimensional Klein-Gordon Equation with an Energy-Dependent Potential by Using of Nikiforov-Uvarov Method

摘要

We study the D-dimensional Klein-Gordon equation for a particle in a hyperspherically-symmetric potential. The potentials we consider here depend linearly on energy and inversely on the hyperradius. We calculate the corresponding eigenfunctions and eigenvalues of this system by using the Nikiforov-Uvarov method. The results could find interesting applications in fields such as theoretical nuclear physics if one is considering a relativistic treatment of spin-zero systems.